Details

Time bar (total: 3.5s)

sample262.0ms

Algorithm
intervals
Results
84.0ms295×body80valid
72.0ms500×body80nan

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02128
14928
215228
362728
4297828
done500028

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.7b

localize45.0ms

Local error

Found 4 expressions with local error:

6.6b
(/ (* l l) Om)
8.2b
(* (* n (pow (/ l Om) 2.0)) (- U U*))
9.6b
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
19.3b
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

rewrite479.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
25×pow1
23×add-cbrt-cube
22×associate-*r/
16×prod-exp
13×pow-prod-down
11×flip3-- flip--
10×add-sqr-sqrt *-un-lft-identity cbrt-unprod
add-cube-cbrt associate-*r* frac-sub
distribute-rgt-in sub-neg distribute-lft-in sqrt-div
sqrt-pow1 associate--l+ add-log-exp
times-frac div-exp associate-/r*
cbrt-undiv associate-*l* pow-exp *-commutative
pow-to-exp frac-2neg pow1/2 clear-num sqrt-prod div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 103
Calls
4 calls:
12.0ms
(/ (* l l) Om)
71.0ms
(* (* n (pow (/ l Om) 2.0)) (- U U*))
240.0ms
(* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*))))
149.0ms
(sqrt (* (* (* 2.0 n) U) (- (- t (* 2.0 (/ (* l l) Om))) (* (* n (pow (/ l Om) 2.0)) (- U U*)))))

series4.0ms